Greetings Gerson Jr,

Thank you for posting your question on the Dell Community.

According to page 53 in the E3540's user guide, the maximum memory will be 8GB. This is due to a '4GB per dimm' limitation.

ftp://ftp.dell.com/Manuals/all-products/esuprt_laptop/esuprt_latitude_laptop/latitude-3540-laptop_Owner's%20Manual_en-us.pdf